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pantera1 [17]
3 years ago
10

State the degree and leading coefficient of each polynomial in one variable. If it is not a polynomial in one variable, explain

why.
Need help

1. −6x^6−4x^5+13yx

2. 8x^5 -12x^6+14x^3-9

3. 15x-4x^3+3x^3-5x^4

4. (d + 5)(3d -4)

5. 6x^5 - 5x^4+2x^9-3x^2

Mathematics
1 answer:
musickatia [10]3 years ago
3 0
1.\\-6x^6-4x^5+13xy\\degree:6\\it's\ not\ a\ polynominal\ in\ one\ variable\ (13x\boxed{y})\\\\2.\\8x^5-12x^6+14x^4-9\\degree:5\\leading\ coefficient:8\\\\3.\\15x+4x^3+3x^3-5x^4\\degree:4\\leading\ coefficient:-5

4.\\(d+5)(3d-4)=3d^2-4d+15d-20\\degree:2\\leading\ coefficient:3\\\\5.\\6x^5-5x^4+2x^9-3x^2\\degree:9\\leading\ coefficient:2

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W + s = 4500 and w = s + .25s



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What is the equation of the following line written in slope-intercept from??
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X=2
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3 0
3 years ago
Suppose you waited 10 years to invest in the same retirement fund and have the same $400,000 for retirement at the same 8% inter
Ierofanga [76]

Answer:

<em>$7,196.42 </em>

Step-by-step explanation:

Using the compound interest formula to fins the amount after 10years;

A  = P(1+r)^n

Principal P = $400,000

Rate r = 8% = 0.08

Time t = 10 years

Substitute

A = 400,000(1+0.08)^10

A = 400,000(1.08)^10

A = 400,000(2.1589)

A = 863,569.99

A ≈ 863,570

Hence the amount after 10 years is $863,570

Monthly deposit = $863,570/120 (10 years is equivalent to 120months)

Monthly deposit = 7,196.42

<em>Therefore he will have to deposit $7,196.42 into his account monthly</em>

7 0
2 years ago
Factorise fully the following:<br> a) 3x^3-9x<br> b) 4x^2+28^3
Leokris [45]

Answer:

3 x(x^2-3)

4x(x^2+5488)

Step-by-step explanation:

3 0
2 years ago
What are the postulates for congruent triangles
Delvig [45]

Hi there!

There are 5 ways to find if two triangles are congruent :

SSS, SAS, ASA, AAS & HL

<u>1. SSS (Side, Side, Side)</u>

Means that we have two triangles with 3 sides equal.

⇒ If 3 sides of one triangle are equal to 3 sides of another triangle, the triangles are congruent.

<u>2. SAS (Side, Angle, Side)</u>

Means that we have two triangles where we know 2 sides and the included angle are equal.

⇒ If 2 sides and the includent angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

<u>3. ASA (Angle, Side, Angle)</u>

Means that we have two triangles where we know 2 angles and the included side are equal.

⇒ If 2 angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

<u>4. AAS (Angle, Angle, Side)</u>

Means thant we have two triangles where we know 2 angles and the non-included side are equal.

⇒ If 2 angles and the non-included side of one triangle are equal to the coresponding angles and side of another triangle, the triangles are congruent.

<u>5. HL (Hypotenuse, leg)</u>

** This one only applies to <em><u>right-angled triangles</u></em>.**

Hypotenuse: The longest side of a right-angled triangle.

Legs: The other 2 sides of the right-angled triangle.

Means we have two right-angled triangles with the same length of hypotenuse and the same length for one of the other 2 legs (it doesn't matter which leg since the triangles could be rotated).

⇒ If the hypotenuse and one leg of one right-angled triangles are equal to the corresponding hypotenuse and leg of another right-angled triangles, the two triangles are congruent.


There you go! I really hope this helped, if there's anything just let me know! :)

7 0
3 years ago
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